Top person sorted by normalized score

At this site we keep several lists of primes, most notably the list of the 5,000 largest known primes. Who found the most of these record primes? We keep separate counts for persons, projects and programs. To see these lists click on 'number' to the right.

Clearly one 100,000,000 digit prime is much harder to discover than quite a few 100,000 digit primes. Based on the usual estimates we score the top persons, provers and projects by adding ‎(log n)³ log log n‎ for each of their primes n. Click on 'score' to see these lists.

Finally, to make sense of the score values, we normalize them by dividing by the current score of the 5000th prime. See these by clicking on 'normalized score' in the table on the right.

normalized person primes score 121351 Luke Durant 1 58.0015 29197 Curtis Cooper 9 56.5769 26274 Patrick Laroche 1 56.4714 21405 Jonathan (Jon) Pace 1 56.2664 18688 Ryan Propper 381 56.1307 5188 Tom Greer 126 54.8492 4197 Serge Batalov 399.333 54.6371 3601 Edson Smith 1 54.4841 3483 Odd Magnar Strindmo 1 54.4507 2286 Hans-Michael Elvenich 1 54.0294 1389 Dr. James Scott Brown 194 53.5312 1383 Steven R. Boone 1 53.5273 1336 Péter Szabolcs 1 53.4922 989 Antonio Lucendo 38 53.1920 891 Anonymous Person(s) 161 53.0877 764 Dr. Martin Nowak 1 52.9330 753 Vaughan Davies 161 52.9192 699 Mark Williams 21 52.8452 603 Josh Findley 1 52.6968 590 Valter Cavecchia 105 52.6753

Notes:

normalized score

Just how do you make sense out of something as vague as our 'score' for primes? One possibility is to compare the amount of effort involved in earning that score, with the effort required to find the 5000th prime on the list. The normalized score does this: it is the number of primes that are the size of the 5000th, required to earn the same score (rounded to the nearest integer).

Note that if a person stops finding primes, its normalized score will steadily drop as the size of the 5000th primes steadily increases. The non-normalized scores drop too, but not as quickly because they only drop when the person's primes are pushed off the list.